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9850242312 = 2332293124909
BaseRepresentation
bin10010010110001111…
…01100010100001000
3221102110222011012100
421023013230110020
5130133130223222
64305232513400
7466045451421
oct111307542410
927373864170
109850242312
1141a5228929
121aaa9ab860
13c0c974961
146962dc648
153c9b7a4ac
hex24b1ec508

9850242312 has 144 divisors (see below), whose sum is σ = 28522435500. Its totient is φ = 3067303680.

The previous prime is 9850242299. The next prime is 9850242331. The reversal of 9850242312 is 2132420589.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8614438596 + 1235803716 = 92814^2 + 35154^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2004114 + ... + 2009022.

Almost surely, 29850242312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9850242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261217750).

9850242312 is an abundant number, since it is smaller than the sum of its proper divisors (18672193188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9850242312 is a wasteful number, since it uses less digits than its factorization.

9850242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9850242312 is about 99248.3869491086. The cubic root of 9850242312 is about 2143.6257799238.

The spelling of 9850242312 in words is "nine billion, eight hundred fifty million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 87 93 116 124 174 186 232 248 261 279 348 372 522 558 696 744 899 961 1044 1116 1798 1922 2088 2232 2697 2883 3596 3844 4909 5394 5766 7192 7688 8091 8649 9818 10788 11532 14727 16182 17298 19636 21576 23064 27869 29454 32364 34596 39272 44181 55738 58908 64728 69192 83607 88362 111476 117816 142361 152179 167214 176724 222952 250821 284722 304358 334428 353448 427083 456537 501642 569444 608716 668856 854166 913074 1003284 1138888 1217432 1281249 1369611 1708332 1826148 2006568 2562498 2739222 3416664 3652296 4413191 4717549 5124996 5478444 8826382 9435098 10249992 10956888 13239573 14152647 17652764 18870196 26479146 28305294 35305528 37740392 39718719 42457941 52958292 56610588 79437438 84915882 105916584 113221176 136808921 158874876 169831764 273617842 317749752 339663528 410426763 547235684 820853526 1094471368 1231280289 1641707052 2462560578 3283414104 4925121156 9850242312